Name: ............................................
Teacher: ........................................
SCEGGS Darlinghurst
Preliminary Assessment Task 1
Tuesday, 7th March, 2006
Mathematics
Task Weighting: 10%
General Instructions
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Time allowed – 50 minutes
Write your name at the top of each
page
Start each question on a new page
Attempt all questions and show all
necessary working
Marks will be deducted for careless or
badly arranged work
Circle the word Mathematics above to
show that you have read these
instructions
Mathematical templates, geometrical
equipment and scientific calculators
may be used
Marks
Question 1
/10
Question 2
/13
Question 3
/11
TOTAL
/34
Name: .............................................
Question 1 (10 marks)
4.632  10 6
in scientific notation correct to
6.875  10  4
three significant figures
Marks
(a)
Find the value of
2
(b)
John bought a pair of skis in Canada. He paid $1254 including
14% sales tax. What was the price of the skis before sales tax
was added?
2
(c)
Express 0.13 7 as a fraction in simplest form
2
(d)
Simplify Fully:
2
2 6  72  2 54
(e)
Express in index form
2
2
x
SCEGGS Darlinghurst, Preliminary Mathematics
Assessment Task 1, Term 1, 2006
page 1
Name: .............................................
Question 2 (13 Marks)
(a)
Marks
Expand and Simplify
2
(2a  6) 2
(b)
Factorise Fully
2
a3  8
(c)
(d)
1
(i)
Express
(ii)
Hence, express x 
32 2
with a rational denominator
1
as a rational number if x  3  2 2
x
2
2
Simplify Fully
(i)
3
2

x 9 x3
2
(ii)
3m 2  9m  6 m 2  m  2

5m  5
(m  1) 2
3
2
SCEGGS Darlinghurst, Preliminary Mathematics
Assessment Task 1, Term 1, 2006
page 2
Name: .............................................
Question 3 (11Marks)
(a)
(b)
Marks
Solve the following equations
(i)
2 x 2  3x  5  0
2
(ii)
9x 
1
27
2
Solve and graph the following inequality
3
2x
 1
3
(c)
Frankie was asked to solve x 2  6 x  4 by completing the square.
His solution is shown below.
x 2  6x  4
4
Line 1
x  6x  4
Line 2
x  6x  9  4
Line 3
( x  3) 2  4
Line 4
x 32
Line 5
x5
Line 6
2
2
Frankies solution is incorrect.
Describe his errors and give the correct solution.
End of Assessment
SCEGGS Darlinghurst, Preliminary Mathematics
Assessment Task 1, Term 1, 2006
page 3